7L 5s

This is the MOS pattern of the meantone chromatic scale, which is the only notable harmonic entropy minimum in this range of possible scales. In meantone, "diatonic" semitones (~16/15), such as appear in the diatonic scale, for example B-C, are larger than "chromatic" semitones (~25/24), the intervals by which flats and sharps alter pitches.

The meantone chromatic scale is proper.

Generator						in cents	Comments
3\7						514.286
					20\47	510.638
				17\40		510
					31\73	509.589
			14\33			509.091
					39\92	508.696
				25\59		508.475
					36\85	508.235
						507.934
		11\26				507.692	Normal flat-tone.
					41\97	507.216
						507.151	Flattone
				30\71		507.042
						506.9365
					49\116	506.897	Flattone
			19\45			506.667	Flattone
					46\109	506.422	Flattone
				27\64		506.25	Flattone
					35\83	506.024
	8\19					505.263	Boundary of propriety: generators smaller than this are proper. Meanenneadecal
					37\88	504.5455	LucyTuning
				29\69		504.348
						504.275
					50\119	504.202
			21\50			504	Meantone/Meanpop
					55\131	503.817	Golden meantone
						503.7855
				34\81		503.704	Optimal meantone is around here
					47\112	503.571	Meantone/Meanpop
						503.5685
		13\31				503.226	Optimal rank range (L/s=3/2)
					44\105	502.857	Meantone/Huygens
				31\74		502.703	Meantone/Huygens
					49\117	502.564
			18\43			502.326	Meantone/Meridetone
					41\98	502.041
				23\55		501.818
					28\67	501.493
5\12						500